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Finding the Fourth Proportional to 336.31, 464.12 and 211.95

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Solution

The fourth proportional to 336.31, 464.12 and 211.95 is: 292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.31 : 464.12 = 211.95 : x
  2. Step 2: Convert to fraction form
    336.31/464.12 = 211.95/x
  3. Step 3: Cross multiply
    336.31x = 464.12 × 211.95
  4. Step 4: Simplify right side
    336.31x = 98,370.23
  5. Step 5: Solve for x
    x = 98,370.23/336.31
  6. Step 6: Final answer
    x = 292.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.